-(8x-5)-(2x-5)+13=-10(x-1)-(5x+10)+3

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Solution for -(8x-5)-(2x-5)+13=-10(x-1)-(5x+10)+3 equation: 


Simplifying
-1(8x + -5) + -1(2x + -5) + 13 = -10(x + -1) + -1(5x + 10) + 3

Reorder the terms:
-1(-5 + 8x) + -1(2x + -5) + 13 = -10(x + -1) + -1(5x + 10) + 3
(-5 * -1 + 8x * -1) + -1(2x + -5) + 13 = -10(x + -1) + -1(5x + 10) + 3
(5 + -8x) + -1(2x + -5) + 13 = -10(x + -1) + -1(5x + 10) + 3

Reorder the terms:
5 + -8x + -1(-5 + 2x) + 13 = -10(x + -1) + -1(5x + 10) + 3
5 + -8x + (-5 * -1 + 2x * -1) + 13 = -10(x + -1) + -1(5x + 10) + 3
5 + -8x + (5 + -2x) + 13 = -10(x + -1) + -1(5x + 10) + 3

Reorder the terms:
5 + 5 + 13 + -8x + -2x = -10(x + -1) + -1(5x + 10) + 3

Combine like terms: 5 + 5 = 10
10 + 13 + -8x + -2x = -10(x + -1) + -1(5x + 10) + 3

Combine like terms: 10 + 13 = 23
23 + -8x + -2x = -10(x + -1) + -1(5x + 10) + 3

Combine like terms: -8x + -2x = -10x
23 + -10x = -10(x + -1) + -1(5x + 10) + 3

Reorder the terms:
23 + -10x = -10(-1 + x) + -1(5x + 10) + 3
23 + -10x = (-1 * -10 + x * -10) + -1(5x + 10) + 3
23 + -10x = (10 + -10x) + -1(5x + 10) + 3

Reorder the terms:
23 + -10x = 10 + -10x + -1(10 + 5x) + 3
23 + -10x = 10 + -10x + (10 * -1 + 5x * -1) + 3
23 + -10x = 10 + -10x + (-10 + -5x) + 3

Reorder the terms:
23 + -10x = 10 + -10 + 3 + -10x + -5x

Combine like terms: 10 + -10 = 0
23 + -10x = 0 + 3 + -10x + -5x
23 + -10x = 3 + -10x + -5x

Combine like terms: -10x + -5x = -15x
23 + -10x = 3 + -15x

Solving
23 + -10x = 3 + -15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15x' to each side of the equation.
23 + -10x + 15x = 3 + -15x + 15x

Combine like terms: -10x + 15x = 5x
23 + 5x = 3 + -15x + 15x

Combine like terms: -15x + 15x = 0
23 + 5x = 3 + 0
23 + 5x = 3

Add '-23' to each side of the equation.
23 + -23 + 5x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = 3 + -23
5x = 3 + -23

Combine like terms: 3 + -23 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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